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Finding the Third Proportional to 150,010,098 and 225,414,549

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Solution

The third proportional to 150,010,098 and 225,414,549 is: 338,721,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010,098 : 225,414,549 = 225,414,549 : x
  2. Step 2: Convert to fraction form
    150,010,098/225,414,549 = 225,414,549/x
  3. Step 3: Cross multiply
    150,010,098x = 225,414,549 × 225,414,549
  4. Step 4: Simplify right side
    150,010,098x = 50,811,718,900,873,400
  5. Step 5: Solve for x
    x = 50,811,718,900,873,400/150,010,098
  6. Step 6: Final answer
    x = 338,721,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.